Quantitative analysis

In the core of correlation

The single-factor Gaussian copula model has become a benchmark for the pricing and risk management of basket credit derivatives and synthetic CDO tranches. However, recent months have seen the development of a market for tranched synthetic indexes,…

Detecting market abuse

Financial regulators need a way to detect market abuse in real time. Marcello Minenna has developed such a procedure that can detect, for each quoted stock and on a daily basis, the presence of market abuse phenomena by means of a set of tripwires that…

Maximum drawdown

The maximum loss from a market peak to a market nadir, commonly called the maximum drawdown (MDD), measures how sustained one’s losses can be. Malik Magdon-Ismail and Amir Atiya present analytical results relating the MDD to the mean return and the…

Smile dynamics

Traditionally, smile models have been assessed according to how well they fit market option prices across strikes and maturities. However, the pricing of most recent exotic structures, such as reverse cliquets or Napoleons, is more dependent on the…

Correlating market models

While swaption prices theoretically contain information on interest rate correlation, Bruce Choy, Tim Dun and Erik Schlögl argue that, for any practical purpose, this information cannot be extracted. Care must therefore be taken when pricing correlation…

A credit loss control variable

Viktor Tchistiakov, Jeroen de Smet and Peter-Paul Hoogbruin explain and demonstrate how the efficiency of Monte Carlo simulation in valuing a portfolio of credit risky exposures is improved by the use of the Vasicek distribution as a control variable. An…

Hedging of corporate pension liabilities

Bernd Scherer here proposes a normative theory of asset/liability management that views externally funded pension funds exclusively from a corporate finance point. Standard asset management solutions are derived after the corporate finance problem has…

Quantifying operational risk

This is the fifth of Charles Smithson's latest series of Class Notes, which will run in alternate issues of Risk through to the end of 2004. Class Notes is an educational series, designed to pull together the threads of recent developments and thinking…

Component proponents II

Christophe Pérignon and Christophe Villa propose a novel method of extracting the risk factors driving interest rates that allows both the covariance matrix of interest rates and the variances of the risk factors to vary through time. To illustrate the…

Local cross-entropy

One way of addressing the inconsistency between exchange-traded options prices and the Black-Scholes model is to attempt to find alternative risk-neutral distributions that are more consistent. However, non-uniqueness means an additional criterion is…

A credit loss control variable

Viktor Tchistiakov, Jeroen de Smet and Peter-Paul Hoogbruin explain and demonstrate how the efficiency of Monte Carlo simulation in valuing a portfolio of credit risky exposures is improved by the use of the Vasicek distribution as a control variable. An…

Correlated defaults: let's go back to the data

Estimates of asset value correlation are a key element of Merton-style credit portfoliomodels. Many practitioners have access to asset value data for a large universe of listedfirms, so estimation is within reach. Alan Pitts describes a statistical…

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